## Iserles, Arieh

Compute Distance To:
 Author ID: iserles.arieh Published as: Iserles, Arieh; Iserles, A. Homepage: http://www.damtp.cam.ac.uk/user/na/people/Arieh/Arieh_Iserles/Arieh_Iserles.html External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp · GND · IdRef
 Documents Indexed: 205 Publications since 1977, including 6 Books 50 Contributions as Editor · 1 Further Contribution Biographic References: 2 Publications Co-Authors: 76 Co-Authors with 141 Joint Publications 2,751 Co-Co-Authors
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### Co-Authors

 111 single-authored 43 Nørsett, Syvert Paul 14 Condon, Marissa 12 Zanna, Antonella 11 Deaño, Alfredo 8 Gao, Jing 7 Buhmann, Martin Dietrich 7 Hairer, Ernst 6 Kropielnicka, Karolina 5 Bloch, Anthony Michael 5 Huybrechs, Daan 5 Saff, Edward Barry 5 Singh, Pranav 4 Böttcher, Albrecht 4 Cantero, María José 4 Liu, Yunkang 4 Webb, Marcus 3 Brunner, Hermann 3 Celledoni, Elena 3 Grudsky, Sergei Mikhailovich 3 Sanz-Serna, Jesús María 2 Bader, Philipp 2 Baxter, Brad J. C. 2 Budd, Christopher John 2 Calvo, M. P. 2 Fokas, Athanassios S. 2 Hochbruck, Marlis 2 Koch, Per Erik 2 Liu, Xiaoyan 2 Lubich, Christian 2 Paz Calvo, Mari 2 Powell, Michael James David 2 Strang, William Gilbert 2 Stuart, Andrew M. 2 Wang, Bin 2 Wu, Xinyuan 1 Adcock, Ben 1 Blanes, Sergio 1 Blatt, Hans-Peter 1 Brînzănescu, Vasile 1 Broomhead, David S. 1 Casas, Fernando 1 Celsus, Andrew F. 1 Davis, Philip J. 1 DeVore, Ronald A. 1 Engquist, Bjorn E. 1 Feldstein, Alan 1 Gautschi, Walter 1 Gilvey, Benjamin 1 Gómez-Ullate, David 1 Levi, Decio 1 Liu, Changying 1 Maczynski, Kornel 1 Marsden, Jerrold Eldon 1 Marthinsen, Arne 1 McLachlan, Robert I. 1 Munthe-Kaas, Hans Z. 1 Olver, Peter John 1 Olver, Sheehan Shakiban 1 Orel, Bojan 1 Peplow, Andrew T. 1 Quispel, Gilles Reinout Willem 1 Quispel, Reinout 1 Ramaswami, Geetha 1 Ramos, Alberto Gil Couto Pimentel 1 Rasmussen, Atgeirr Flø 1 Ratiu, Tudor Stefan 1 Smitheman, S. A. 1 Söderlind, Gustaf 1 Sofroniou, Mark 1 Süli, Endre E. 1 Tempesta, Piergiulio 1 Terjéki, József 1 Trevelyan, Jon 1 Tse, P. S. P. 1 Üsküplü Altınbaşak, Sevda 1 Williamson, R. A. 1 Winternitz, Pavel 1 Xu, Tao
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### Serials

 40 Acta Numerica 24 IMA Journal of Numerical Analysis 11 Mathematics of Computation 10 BIT 9 SIAM Journal on Numerical Analysis 8 Foundations of Computational Mathematics 7 Applied Numerical Mathematics 6 Journal of Computational and Applied Mathematics 6 SIAM Journal on Mathematical Analysis 4 Numerische Mathematik 4 Transactions of the American Mathematical Society 3 Journal of Computational Physics 3 Journal of Mathematical Analysis and Applications 3 Journal of Computational Mathematics 3 European Journal of Applied Mathematics 3 Annals of Numerical Mathematics 3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Computers & Mathematics with Applications 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Journal of Approximation Theory 2 Journal of Complexity 2 Constructive Approximation 2 Journal of Integral Equations and Applications 2 Numerical Algorithms 2 Advances in Computational Mathematics 2 Discrete and Continuous Dynamical Systems 2 Oberwolfach Reports 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 BIT. Nordisk Tidskrift for Informationsbehandling 2 London Mathematical Society Lecture Note Series 2 Cambridge Texts in Applied Mathematics 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Rocky Mountain Journal of Mathematics 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Calcolo 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Differential Equations 1 Journal of the London Mathematical Society. Second Series 1 Utilitas Mathematica 1 Bulletin of the Greek Mathematical Society 1 Physica D 1 COMPEL 1 SIAM Journal on Matrix Analysis and Applications 1 CWI Quarterly 1 Journal of Physics A: Mathematical and General 1 Bulletin. The Institute of Mathematics and its Applications 1 Notices of the American Mathematical Society 1 Celestial Mechanics and Dynamical Astronomy 1 New Zealand Journal of Mathematics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 The New York Journal of Mathematics 1 Methods and Applications of Analysis 1 The Journal of Fourier Analysis and Applications 1 European Mathematical Society Newsletter 1 LMS Journal of Computation and Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 HERMIS-$$\mu\pi$$. Hellenic European Research on Mathematics and Informatics Science 1 Applied Mathematics and Mathematical Computation 1 CRM Proceedings & Lecture Notes 1 Statistics: Textbooks and Monographs 1 Science China. Mathematics 1 S$$\vec{\text{e}}$$MA Journal 1 Journal of Computational Dynamics 1 Research in the Mathematical Sciences 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Other Titles in Applied Mathematics 1 Transactions of Mathematics and its Applications
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### Fields

 202 Numerical analysis (65-XX) 78 Ordinary differential equations (34-XX) 53 General and overarching topics; collections (00-XX) 41 Approximations and expansions (41-XX) 28 Partial differential equations (35-XX) 26 Harmonic analysis on Euclidean spaces (42-XX) 23 Dynamical systems and ergodic theory (37-XX) 19 Special functions (33-XX) 9 Functions of a complex variable (30-XX) 7 Integral equations (45-XX) 6 Nonassociative rings and algebras (17-XX) 6 Topological groups, Lie groups (22-XX) 5 Operator theory (47-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Difference and functional equations (39-XX) 4 Optics, electromagnetic theory (78-XX) 3 Real functions (26-XX) 2 Combinatorics (05-XX) 2 Geometry (51-XX) 1 History and biography (01-XX) 1 Associative rings and algebras (16-XX) 1 Sequences, series, summability (40-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

194 Publications have been cited 2,634 times in 1,536 Documents Cited by Year
Lie-group methods. Zbl 1064.65147
Iserles, Arieh; Munthe-Kaas, Hans Z.; Nørsett, Syvert P.; Zanna, Antonella
2000
Efficient quadrature of highly oscillatory integrals using derivatives. Zbl 1145.65309
Iserles, Arieh; Nørsett, Syvert P.
2005
A first course in the numerical analysis of differential equations. 2nd ed. Zbl 1171.65060
Iserles, Arieh
2009
On the generalized pantograph functional-differential equation. Zbl 0767.34054
Iserles, A.
1993
On the solution of lienar differential equations in Lie groups. Zbl 0958.65080
Iserles, A.; Nørsett, S. P.
1999
On quadrature methods for highly oscillatory integrals and their implementation. Zbl 1076.65025
Iserles, A.; Nørsett, S. P.
2004
On polynomials orthogonal with respect to certain Sobolev inner products. Zbl 0734.42016
Iserles, Arieh; Koch, P. E.; Nørsett, Syvert P.; Sanz-Serna, J. M.
1991
Stability of the discretized pantograph differential equation. Zbl 0774.34057
Buhmann, Martin; Iserles, Arieh
1993
Arbitrary-order trigonometric Fourier collocation methods for multi-frequency oscillatory systems. Zbl 1341.65029
Wang, Bin; Iserles, Arieh; Wu, Xinyuan
2016
On the numerical quadrature of highly-oscillating integrals. I: Fourier transforms. Zbl 1061.65149
Iserles, Arieh
2004
The pantograph equation in the complex plane. Zbl 0891.34072
Derfel, G.; Iserles, A.
1997
On neutral functional-differential equations with proportional delays. Zbl 0873.34066
Iserles, Arieh; Liu, Yunkang
1997
Geometric integration: Numerical solution of differential equations on manifolds. Zbl 0933.65142
Budd, C. J.; Iserles, A.
1999
Numerical solution of isospectral flows. Zbl 0907.65067
Calvo, Mari Paz; Iserles, Arieh; Zanna, Antonella
1997
On the numerical quadrature of highly-oscillating integrals. II: Irregular oscillators. Zbl 1069.65148
Iserles, Arieh
2005
From high oscillation to rapid approximation. I: Modified Fourier expansions. Zbl 1221.65348
Iserles, Arieh; Nørsett, Syvert P.
2008
Quadrature methods for multivariate highly oscillatory integrals using derivatives. Zbl 1095.65019
Iserles, Arieh; Nørsett, Syvert P.
2006
On the theory of parallel Runge-Kutta methods. Zbl 0712.65071
Iserles, Arieh; Nørsett, Syvert P.
1990
Stability and dynamics of numerical methods for nonlinear ordinary differential equations. Zbl 0686.65054
Iserles, A.
1990
On the implementation of the method of Magnus series for linear differential equations. Zbl 0933.65077
Iserles, A.; Marthinsen, A.; Nørsett, S. P.
1999
On the global error of discretization methods for highly-oscillatory ordinary differential equations. Zbl 1027.65107
Iserles, Arieh
2002
Approximating the exponential from a Lie algebra to a Lie group. Zbl 0956.65009
Celledoni, Elena; Iserles, Arieh
2000
Highly oscillatory quadrature: the story so far. Zbl 1119.65317
Iserles, A.; Nørsett, S. P.; Olver, S.
2006
Solving linear ordinary differential equations by exponentials of iterated commutators. Zbl 0562.65046
Iserles, A.
1984
Exact and discretized stability of the pantograph equation. Zbl 0880.65058
Iserles, Arieh
1997
Generalized leapfrog methods. Zbl 0637.65089
Iserles, A.
1986
The optimal accuracy of difference schemes. Zbl 0573.65071
Iserles, Arieh; Strang, Gilbert
1983
Stability and asymptotic stability of functional-differential equations. Zbl 0832.34080
Iserles, Arieh; Terjéki, József
1995
B-series methods cannot be volume-preserving. Zbl 1128.65054
Iserles, A.; Quispel, G. R. W.; Tse, P. S. P.
2007
Numerical analysis of delay differential equations with variable delays. Zbl 0828.65083
Iserles, Arieh
1994
Think globally, act locally: Solving highly-oscillatory ordinary differential equations. Zbl 1016.65050
Iserles, Arieh
2002
Methods for the approximation of the matrix exponential in a Lie-algebraic setting. Zbl 1009.65040
Celledoni, Elena; Iserles, Arieh
2001
Highly oscillatory problems. Zbl 1170.37002
2009
The spectral problem for a class of highly oscillatory Fredholm integral operators. Zbl 1185.45002
Brunner, Hermann; Iserles, Arieh; Nørsett, Syvert P.
2010
Computing highly oscillatory integrals. Zbl 1400.65004
Deaño, Alfredo; Huybrechs, Daan; Iserles, Arieh
2018
Orthogonality and approximation in a Sobolev space. Zbl 0749.41030
Iserles, Arieh; Sanz-Serna, J. M.; Koch, P. E.; Nørsett, Syvert P.
1990
A unified approach to spurious solutions introduced by time discretization. I: Basic theory. Zbl 0736.65050
Iserles, A.; Peplow, A. T.; Stuart, A. M.
1991
Preserving algebraic invariants with Runge-Kutta methods. Zbl 0969.65069
Iserles, Arieh; Zanna, Antonella
2000
On pantograph integro-differential equations. Zbl 0816.45005
Iserles, Arieh; Liu, Yunkang
1994
On the dynamics of a discretized neutral equation. Zbl 0759.65056
Buhmann, M. D.; Iserles, A.
1992
Effective approximation for the semiclassical Schrödinger equation. Zbl 1302.65230
Bader, Philipp; Iserles, Arieh; Kropielnicka, Karolina; Singh, Pranav
2014
Efficient computation of the matrix exponential by generalized polar decompositions. Zbl 1084.65040
Iserles, Arieh; Zanna, Antonella
2005
Runge-Kutta methods for neutral differential equations. Zbl 0834.65061
Buhmann, M. D.; Iserles, A.; Nørsett, S. P.
1993
Runge-Kutta methods for orthogonal and isospectral flows. Zbl 0871.65074
Calvo, M. P.; Iserles, A.; Zanna, A.
1996
How large is the exponential of a banded matrix? Zbl 0968.22016
Iserles, Arieh
2000
On Cayley-transform methods for the discretization of Lie-group equations. Zbl 1014.65060
Iserles, A.
2001
Explicit Magnus expansions for nonlinear equations. Zbl 1095.65060
Casas, Fernando; Iserles, Arieh
2006
Order stars. Zbl 0743.65062
Iserles, Arieh; Nørsett, Syvert P.
1991
Qualitative numerical analysis of ordinary differential equations. Zbl 0856.65082
Iserles, Arieh; Zanna, Antonella
1996
From high oscillation to rapid approximation. III: Multivariate expansions. Zbl 1188.65149
Iserles, Arieh; Nørsett, Syvert P.
2009
A first course in the numerical analysis of differential equations. Zbl 0841.65001
Iserles, Arieh
1995
Expansions that grow on trees. Zbl 1126.34310
Iserles, Arieh
2002
On highly oscillatory problems arising in electronic engineering. Zbl 1172.78009
Condon, Marissa; Deaño, Alfredo; Iserles, Arieh
2009
On transformations and zeros of polynomials. Zbl 0754.26007
Iserles, Arieh; Nørsett, Syvert P.; Saff, E. B.
1991
On nonlinear delay differential equations. Zbl 0804.34065
Iserles, A.
1994
A fast and simple algorithm for the computation of Legendre coefficients. Zbl 1211.33001
Iserles, Arieh
2011
On the theory of biorthogonal polynomials. Zbl 0662.42017
Iserles, Arieh; Nørsett, Syvert P.
1988
On second-order differential equations with highly oscillatory forcing terms. Zbl 1194.34019
Condon, Marissa; Deaño, Alfredo; Iserles, Arieh
2010
Symmetric and arbitrarily high-order Birkhoff-Hermite time integrators and their long-time behaviour for solving nonlinear Klein-Gordon equations. Zbl 1380.65052
Liu, Changying; Iserles, Arieh; Wu, Xinyuan
2018
Equilibria of Runge-Kutta methods. Zbl 0693.65047
Hairer, E.; Iserles, A.; Sanz-Serna, J. M.
1990
Zeros of expansions in orthogonal polynomials. Zbl 0679.33007
Iserles, A.; Saff, E. B.
1989
Spirals. From Theodorus to chaos. With contributions by Walter Gautschi and Arieh Iserles. Zbl 0940.00002
Davis, Philip J.
1993
On the computation of highly oscillatory multivariate integrals with stationary points. Zbl 1106.65020
Iserles, A.; Nørsett, S. P.
2006
Embedding of delay equations into an infinite-dimensional ODE system. Zbl 0817.34045
Feldstein, Alan; Iserles, Arieh; Levin, David
1995
On orthogonal polynomials transformed by the QR algorithm. Zbl 0764.65008
Buhmann, M. D.; Iserles, A.
1992
On the method of Neumann series for highly oscillatory equations. Zbl 1071.65099
Iserles, A.
2004
Order stars and a saturation theorem for first-order hyperbolics. Zbl 0493.65039
Iserles, Arieh
1982
The computation of the spectra of highly oscillatory Fredholm integral operators. Zbl 1238.65123
Brunner, Hermann; Iserles, Arieh; Nørsett, Syvert P.
2011
From high oscillation to rapid approximation. IV: Accelerating convergence. Zbl 1218.65154
Huybrechs, Daan; Iserles, Arieh; Nørsett, Syvert P.
2011
Bi-orthogonality and zeros of transformed polynomials. Zbl 0636.42022
Iserles, Arieh; Nørsett, Syvert P.
1987
Unified approach to spurious solutions introduced by time discretization. II: BDF-like methods. Zbl 0760.65071
Iserles, A.; Stuart, A. M.
1992
Order stars and rational approximants to exp(z). Zbl 0674.65043
Iserles, Arieh; Nørsett, Syvert P.
1989
On the A-acceptability of rational approximations that interpolate the exponential function. Zbl 0472.41013
Iserles, A.; Powell, M. J. D.
1981
Zeros of transformed polynomials. Zbl 0698.33007
Iserles, Arieh; Nørsett, Syvert P.
1990
On numerical methods for highly oscillatory problems in circuit simulation. Zbl 1183.78018
Condon, Marissa; Deaño, Alfredo; Iserles, Arieh; Maczynski, Kornel; Xu, Tao
2009
Efficient methods for linear Schrödinger equation in the semiclassical regime with time-dependent potential. Zbl 1372.65280
Bader, Philipp; Iserles, Arieh; Kropielnicka, Karolina; Singh, Pranav
2016
On systems of differential equations with extrinsic oscillation. Zbl 1207.65093
Condon, Marissa; Deaño, Alfredo; Iserles, Arieh
2010
Spectral theory of large Wiener-Hopf operators with complex-symmetric kernels and rational symbols. Zbl 1227.47015
Böttcher, Albrecht; Grudsky, Sergei; Iserles, Arieh
2011
Approximately preserving symmetries in the numerical integration of ordinary differential equations. Zbl 0939.65139
Iserles, Arieh; McLachlan, Robert; Zanna, Antonella
1999
Integro-differential equations and generalized hypergeometric functions. Zbl 0880.45005
Iserles, Arieh; Liu, Yunkang
1997
On the singular values and eigenvalues of the Fox-Li and related operators. Zbl 1233.47022
Böttcher, Albrecht; Brunner, Hermann; Iserles, Arieh; Nørsett, Syvert P.
2010
A generalization of Filon-Clenshaw-Curtis quadrature for highly oscillatory integrals. Zbl 1380.65056
Gao, Jing; Iserles, Arieh
2017
Numerical analysis of functional equations with a variable delay. Zbl 0795.65048
Buhmann, M.; Iserles, A.
1992
The asymptotic behaviour of certain difference equations with proportional delays. Zbl 0808.39008
Iserles, A.
1994
Asymptotic expansion and quadrature of composite highly oscillatory integrals. Zbl 1213.65045
Iserles, Arieh; Levin, David
2011
Time symmetry and high-order Magnus methods. Zbl 0996.65071
Iserles, A.; Nørsett, S. P.; Rasmussen, A. F.
2001
Beyond the classical theory of computational ordinary differential equations. Zbl 0886.65073
Iserles, Arieh
1997
Barriers to stability. Zbl 0529.65058
Strang, Gilbert; Iserles, Arieh
1983
Composite exponential approximations. Zbl 0484.65050
Iserles, Arieh
1982
Explicit adaptive symplectic integrators for solving Hamiltonian systems. Zbl 1266.37045
Blanes, Sergio; Iserles, Arieh
2012
Applications of Magnus expansions and pseudospectra to Markov processes. Zbl 1427.60167
Iserles, A.; Macnamara, S.
2019
On skew-symmetric differentiation matrices. Zbl 1288.65121
Iserles, Arieh
2014
Remarks on the behaviour of zeros of best approximating polynomials and rational functions. Zbl 0627.41009
Blatt, H.-P.; Iserles, A.; Saff, E. B.
1987
Bi-orthogonality in rational approximation. Zbl 0627.41011
Iserles, A.; Saff, E. B.
1987
Numerical stability in the presence of variable coefficients. Zbl 1347.65144
Hairer, Ernst; Iserles, Arieh
2016
Stability and accuracy of semi-discretized finite difference methods. Zbl 0553.65060
Iserles, A.; Williamson, R. A.
1984
Conservative methods for the Toda lattice equations. Zbl 0963.65130
Calvo, M. P.; Iserles, A.; Zanna, A.
1999
On an isospectral Lie-Poisson system and its Lie algebra. Zbl 1105.37033
Bloch, Anthony M.; Iserles, Arieh
2006
From high oscillation to rapid approximation. V: The equilateral triangle. Zbl 1219.65129
Huybrechs, Daan; Iserles, Arieh; Nørsett, Syvert P.
2011
Quadrature methods for stiff ordinary differential systems. Zbl 0477.65052
Iserles, A.
1981
Quadrature methods for highly oscillatory singular integrals. Zbl 1474.65056
Gao, Jing; Condon, Marissa; Iserles, Arieh; Gilvey, Benjamin; Trevelyan, Jon
2021
Fast computation of orthogonal systems with a skew-symmetric differentiation matrix. Zbl 07360989
Iserles, Arieh; Webb, Marcus
2021
A family of orthogonal rational functions and other orthogonal systems with a skew-Hermitian differentiation matrix. Zbl 1459.42006
Iserles, Arieh; Webb, Marcus
2020
Applications of Magnus expansions and pseudospectra to Markov processes. Zbl 1427.60167
Iserles, A.; Macnamara, S.
2019
Orthogonal systems with a skew-symmetric differentiation matrix. Zbl 1428.42048
Iserles, Arieh; Webb, Marcus
2019
Solving Schrödinger equation in semiclassical regime with highly oscillatory time-dependent potentials. Zbl 1416.81064
Iserles, Arieh; Kropielnicka, Karolina; Singh, Pranav
2019
Spectral computation of highly oscillatory integral equations in laser theory. Zbl 1452.65400
Gao, Jing; Condon, Marissa; Iserles, Arieh
2019
Solving the wave equation with multifrequency oscillations. Zbl 1434.65200
Condon, Marissa; Iserles, Arieh; Kropielnicka, Karolina; Singh, Pranav
2019
Computing highly oscillatory integrals. Zbl 1400.65004
Deaño, Alfredo; Huybrechs, Daan; Iserles, Arieh
2018
Symmetric and arbitrarily high-order Birkhoff-Hermite time integrators and their long-time behaviour for solving nonlinear Klein-Gordon equations. Zbl 1380.65052
Liu, Changying; Iserles, Arieh; Wu, Xinyuan
2018
Magnus-Lanczos methods with simplified commutators for the Schrödinger equation with a time-dependent potential. Zbl 1395.65102
Iserles, Arieh; Kropielnicka, Karolina; Singh, Pranav
2018
An adaptive Filon algorithm for highly oscillatory integrals. Zbl 1405.65028
Gao, Jing; Iserles, Arieh
2018
A generalization of Filon-Clenshaw-Curtis quadrature for highly oscillatory integrals. Zbl 1380.65056
Gao, Jing; Iserles, Arieh
2017
Error analysis of the extended filon-type method for highly oscillatory integrals. Zbl 1396.65081
Gao, Jing; Iserles, Arieh
2017
Banded, stable, skew-symmetric differentiation matrices of high order. Zbl 1433.65138
Hairer, Ernst; Iserles, Arieh
2017
Arbitrary-order trigonometric Fourier collocation methods for multi-frequency oscillatory systems. Zbl 1341.65029
Wang, Bin; Iserles, Arieh; Wu, Xinyuan
2016
Efficient methods for linear Schrödinger equation in the semiclassical regime with time-dependent potential. Zbl 1372.65280
Bader, Philipp; Iserles, Arieh; Kropielnicka, Karolina; Singh, Pranav
2016
Numerical stability in the presence of variable coefficients. Zbl 1347.65144
Hairer, Ernst; Iserles, Arieh
2016
The joy and pain of skew symmetry. Zbl 1357.65151
Iserles, Arieh
2016
From orthogonal polynomials on the unit circle to functional equations via generating functions. Zbl 1335.42028
Cantero, María José; Iserles, Arieh
2016
On asymptotic expansion solvers for highly oscillatory semi-explicit DAEs. Zbl 1351.65055
Condon, Marissa; Gao, Jing; Iserles, Arieh
2016
The unified transform in polygonal domains via the explicit Fourier transform of Legendre polynomials. Zbl 1346.65061
Fokas, A. S.; Iserles, A.; Smitheman, S. A.
2015
Asymptotic solvers for ordinary differential equations with multiple frequencies. Zbl 1331.65095
Condon, Marissa; Deaño, Alfredo; Gao, Jing; Iserles, Arieh
2015
Numerical solution of Sturm-Liouville problems via Fer streamers. Zbl 1331.65108
Ramos, Alberto Gil C. P.; Iserles, Arieh
2015
Effective approximation for the semiclassical Schrödinger equation. Zbl 1302.65230
Bader, Philipp; Iserles, Arieh; Kropielnicka, Karolina; Singh, Pranav
2014
On skew-symmetric differentiation matrices. Zbl 1288.65121
Iserles, Arieh
2014
Differential equations with general highly oscillatory forcing terms. Zbl 1371.34083
Condon, M.; Iserles, A.; Nørsett, S. P.
2014
Asymptotic solvers for second-order differential equation systems with multiple frequencies. Zbl 1311.65090
Condon, Marissa; Deaño, Alfredo; Gao, Jing; Iserles, Arieh
2014
Dirichlet series for dynamical systems of first-order ordinary differential equations. Zbl 1291.37103
Wang, Bin; Iserles, Arieh
2014
Highly oscillatory diffusion-type equations. Zbl 1299.35011
Altınbaşak, Sevda Üsküplü; Condon, Marissa; Deaño, Alfredo; Iserles, Arieh
2013
Three stories of high oscillation. Zbl 1360.65189
Iserles, Arieh
2013
On expansions in orthogonal polynomials. Zbl 1277.42029
Cantero, María José; Iserles, Arieh
2013
Explicit adaptive symplectic integrators for solving Hamiltonian systems. Zbl 1266.37045
Blanes, Sergio; Iserles, Arieh
2012
The Fox-Li operator as a test and a spur for Wiener-Hopf theory. Zbl 1317.47027
Böttcher, Albrecht; Grudsky, Sergei; Iserles, Arieh
2012
From high oscillation to rapid approximation. II: Expansions in Birkhoff series. Zbl 1364.65232
Adcock, Ben; Iserles, Arieh; Nørsett, Syvert P.
2012
Efficient computation of delay differential equations with highly oscillatory terms. Zbl 1270.65032
Condon, Marissa; Deaño, Alfredo; Iserles, Arieh; Kropielnicka, Karolina
2012
On rapid computation of expansions in ultraspherical polynomials. Zbl 1241.42023
Cantero, María José; Iserles, Arieh
2012
First-order trace formulae for the iterates of the Fox-Li operator. Zbl 1270.47024
Böttcher, Albrecht; Grudsky, Sergei; Huybrechs, Daan; Iserles, Arieh
2012
A fast and simple algorithm for the computation of Legendre coefficients. Zbl 1211.33001
Iserles, Arieh
2011
The computation of the spectra of highly oscillatory Fredholm integral operators. Zbl 1238.65123
Brunner, Hermann; Iserles, Arieh; Nørsett, Syvert P.
2011
From high oscillation to rapid approximation. IV: Accelerating convergence. Zbl 1218.65154
Huybrechs, Daan; Iserles, Arieh; Nørsett, Syvert P.
2011
Spectral theory of large Wiener-Hopf operators with complex-symmetric kernels and rational symbols. Zbl 1227.47015
Böttcher, Albrecht; Grudsky, Sergei; Iserles, Arieh
2011
Asymptotic expansion and quadrature of composite highly oscillatory integrals. Zbl 1213.65045
Iserles, Arieh; Levin, David
2011
From high oscillation to rapid approximation. V: The equilateral triangle. Zbl 1219.65129
Huybrechs, Daan; Iserles, Arieh; Nørsett, Syvert P.
2011
Asymptotic solvers for oscillatory systems of differential equations. Zbl 1242.65132
Condon, Marissa; Deaño, Alfredo; Iserles, Arieh
2011
Magnus expansions and beyond. Zbl 1291.65253
Iserles, Arieh
2011
Acta Numerica 1992. Reprint of the 1992 hardback ed. Zbl 1207.00045
2011
The spectral problem for a class of highly oscillatory Fredholm integral operators. Zbl 1185.45002
Brunner, Hermann; Iserles, Arieh; Nørsett, Syvert P.
2010
On second-order differential equations with highly oscillatory forcing terms. Zbl 1194.34019
Condon, Marissa; Deaño, Alfredo; Iserles, Arieh
2010
On systems of differential equations with extrinsic oscillation. Zbl 1207.65093
Condon, Marissa; Deaño, Alfredo; Iserles, Arieh
2010
On the singular values and eigenvalues of the Fox-Li and related operators. Zbl 1233.47022
Böttcher, Albrecht; Brunner, Hermann; Iserles, Arieh; Nørsett, Syvert P.
2010
A first course in the numerical analysis of differential equations. 2nd ed. Zbl 1171.65060
Iserles, Arieh
2009
Highly oscillatory problems. Zbl 1170.37002
2009
From high oscillation to rapid approximation. III: Multivariate expansions. Zbl 1188.65149
Iserles, Arieh; Nørsett, Syvert P.
2009
On highly oscillatory problems arising in electronic engineering. Zbl 1172.78009
Condon, Marissa; Deaño, Alfredo; Iserles, Arieh
2009
On numerical methods for highly oscillatory problems in circuit simulation. Zbl 1183.78018
Condon, Marissa; Deaño, Alfredo; Iserles, Arieh; Maczynski, Kornel; Xu, Tao
2009
A class of integrable flows on the space of symmetric matrices. Zbl 1231.37030
Bloch, Anthony M.; Brînzănescu, Vasile; Iserles, Arieh; Marsden, Jerrold E.; Ratiu, Tudor S.
2009
From high oscillation to rapid approximation. I: Modified Fourier expansions. Zbl 1221.65348
Iserles, Arieh; Nørsett, Syvert P.
2008
B-series methods cannot be volume-preserving. Zbl 1128.65054
Iserles, A.; Quispel, G. R. W.; Tse, P. S. P.
2007
Quadrature methods for multivariate highly oscillatory integrals using derivatives. Zbl 1095.65019
Iserles, Arieh; Nørsett, Syvert P.
2006
Highly oscillatory quadrature: the story so far. Zbl 1119.65317
Iserles, A.; Nørsett, S. P.; Olver, S.
2006
Explicit Magnus expansions for nonlinear equations. Zbl 1095.65060
Casas, Fernando; Iserles, Arieh
2006
On the computation of highly oscillatory multivariate integrals with stationary points. Zbl 1106.65020
Iserles, A.; Nørsett, S. P.
2006
On an isospectral Lie-Poisson system and its Lie algebra. Zbl 1105.37033
Bloch, Anthony M.; Iserles, Arieh
2006
Report 14/2006: Geometric Numerical Integration (March 19th – March 25th, 2006). Zbl 1109.65301
2006
Efficient quadrature of highly oscillatory integrals using derivatives. Zbl 1145.65309
Iserles, Arieh; Nørsett, Syvert P.
2005
On the numerical quadrature of highly-oscillating integrals. II: Irregular oscillators. Zbl 1069.65148
Iserles, Arieh
2005
Efficient computation of the matrix exponential by generalized polar decompositions. Zbl 1084.65040
Iserles, Arieh; Zanna, Antonella
2005
Commutators of skew-symmetric matrices. Zbl 1100.17004
Bloch, Anthony M.; Iserles, Arieh
2005
On the numerical analysis of rapid oscillation. Zbl 1080.65058
Iserles, A.
2005
Aspects of generalized double-bracket flows. Zbl 1085.34037
Bloch, A. M.; Iserles, A.
2005
On quadrature methods for highly oscillatory integrals and their implementation. Zbl 1076.65025
Iserles, A.; Nørsett, S. P.
2004
On the numerical quadrature of highly-oscillating integrals. I: Fourier transforms. Zbl 1061.65149
Iserles, Arieh
2004
On the method of Neumann series for highly oscillatory equations. Zbl 1071.65099
Iserles, A.
2004
On the foundations of computational mathematics. Zbl 1060.65005
Baxter, B. J. C.; Iserles, A.
2003
On the global error of discretization methods for highly-oscillatory ordinary differential equations. Zbl 1027.65107
Iserles, Arieh
2002
Think globally, act locally: Solving highly-oscillatory ordinary differential equations. Zbl 1016.65050
Iserles, Arieh
2002
Expansions that grow on trees. Zbl 1126.34310
Iserles, Arieh
2002
On the discretization of double-bracket flows. Zbl 1019.65049
Iserles, Arieh
2002
Complexity theory for Lie-group solvers. Zbl 0996.65070
Celledoni, Elena; Iserles, Arieh; Nørsett, Syvert P.; Orel, Bojan
2002
Methods for the approximation of the matrix exponential in a Lie-algebraic setting. Zbl 1009.65040
Celledoni, Elena; Iserles, Arieh
2001
On Cayley-transform methods for the discretization of Lie-group equations. Zbl 1014.65060
Iserles, A.
2001
Time symmetry and high-order Magnus methods. Zbl 0996.65071
Iserles, A.; Nørsett, S. P.; Rasmussen, A. F.
2001
A Magnus expansion for the equation $$Y^{\prime} = AY - YB$$. Zbl 0979.34004
Iserles, Arieh
2001
Multistep methods on manifolds. Zbl 0974.65077
Iserles, Arieh
2001
Semi-explicit methods for isospectral flows. Zbl 0976.65110
Calvo, Mari Paz; Iserles, Arieh; Zanna, Antonella
2001
Numerical analysis in Lie groups. Zbl 0978.65057
Iserles, Arieh
2001
Acta Numerica 2001. Reprint of the Journal Acta Numerica 10 (2001). Zbl 1231.65007
2001
Lie-group methods. Zbl 1064.65147
Iserles, Arieh; Munthe-Kaas, Hans Z.; Nørsett, Syvert P.; Zanna, Antonella
2000
Approximating the exponential from a Lie algebra to a Lie group. Zbl 0956.65009
Celledoni, Elena; Iserles, Arieh
2000
Preserving algebraic invariants with Runge-Kutta methods. Zbl 0969.65069
Iserles, Arieh; Zanna, Antonella
2000
How large is the exponential of a banded matrix? Zbl 0968.22016
Iserles, Arieh
2000
On the dimension of certain graded Lie algebras arising in geometric integration of differential equations. Zbl 1040.34011
Iserles, Arieh; Zanna, Antonella
2000
On the solution of lienar differential equations in Lie groups. Zbl 0958.65080
Iserles, A.; Nørsett, S. P.
1999
Geometric integration: Numerical solution of differential equations on manifolds. Zbl 0933.65142
Budd, C. J.; Iserles, A.
1999
On the implementation of the method of Magnus series for linear differential equations. Zbl 0933.65077
Iserles, A.; Marthinsen, A.; Nørsett, S. P.
1999
Approximately preserving symmetries in the numerical integration of ordinary differential equations. Zbl 0939.65139
Iserles, Arieh; McLachlan, Robert; Zanna, Antonella
1999
Conservative methods for the Toda lattice equations. Zbl 0963.65130
Calvo, M. P.; Iserles, A.; Zanna, A.
1999
Geometric integration: numerical solution of differential equations on manifolds. Zbl 0929.00019
1999
Acta Numerica Vol. 8, 1999. Zbl 0921.00012
1999
...and 94 more Documents
all top 5

### Cited by 1,870 Authors

 72 Iserles, Arieh 46 Marcellán Español, Francisco 35 Xiang, Shuhuang 31 Wu, Xinyuan 27 Wang, Bin 25 Blanes, Sergio 21 Nørsett, Syvert Paul 15 Casas, Fernando 15 Celledoni, Elena 15 Owren, Brynjulf 14 Chen, Ruyun 13 Brunner, Hermann 13 Moreno-Balcázar, Juan José 13 Sezer, Mehmet 13 Sheng, Qin 13 Zanna, Antonella 12 Huybrechs, Daan 12 Siraj-ul-Islam 12 van Brunt, Bruce 11 Kang, Hongchao 11 Leok, Melvin 11 Liu, Changying 11 Munthe-Kaas, Hans Z. 10 Bader, Philipp 10 Ebrahimi-Fard, Kurusch 10 Liu, Yunkang 10 Ma, Junjie 10 Quispel, Gilles Reinout Willem 10 Sharapudinov, Idris Idrisovich 9 Čermák, Jan 9 Condon, Marissa 9 Deaño, Alfredo 9 Fang, Yonglei 9 Gao, Jing 9 Piñar, Miguel A. 9 Wang, Haiyong 9 Wang, Wansheng 8 Liu, Mingzhu 8 Lopez, Luciano 8 Manchon, Dominique 8 Olver, Sheehan Shakiban 8 Pérez, Teresa E. 8 Ponsoda, Enrique 8 Zaman, Sakhi 7 Adcock, Ben 7 Huang, Chengming 7 McLachlan, Robert I. 7 Meijer, Henk G. 7 Politi, Tiziano 7 Shi, Wei 7 Xu, Yang 6 Böttcher, Albrecht 6 Butcher, John C. 6 Cieśliński, Jan L. 6 Fejzullahu, Bujar Xh. 6 Grudsky, Sergei Mikhailovich 6 Kropielnicka, Karolina 6 Li, Jianbing 6 Liu, Chein-Shan 6 Müller, Andreas 6 Ostapenko, Vladimir Viktorovich 6 Pinzón-Cortés, Natalia Camila 6 Rodríguez García, José Manuel 6 Wake, Graeme Charles 6 Wang, Tao 6 Wang, Xuesong 6 Wu, Qinghua 6 Xiao, Aiguo 6 Xu, Zhenhua 6 You, Xiong 5 Abdi, Ali 5 Area, Iván 5 Asheim, Andreas 5 Băleanu, Dumitru I. 5 Cai, Haotao 5 Godoy, Eduardo Paciência 5 Hashemi, Mir Sajjad 5 Jeltsch, Rolf 5 Jiang, Yaolin 5 Jimenez, Juan Carlos 5 Li, Jiyong 5 Liu, Kai 5 Mohamad, Sannay 5 Montijano, Juan Ignacio 5 Perdikaris, Paris G. 5 Rández, Luis 5 Ranga, A. Sri 5 Rossovskiĭ, Leonid Efimovich 5 Schratz, Katharina 5 Singh, Pranav 5 Sun, Jianqiang 5 Webb, Marcus 5 Xu, Yuesheng 5 Yang, Zhanwen 5 Zaheeruddin, M. 5 Zhao, Jingjun 4 Arnold, Anton 4 Arnold, Martin 4 Bakaryan, Tigran K. 4 Baker, Christopher Thomas Hale ...and 1,770 more Authors
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### Cited in 296 Serials

 181 Journal of Computational and Applied Mathematics 105 Applied Mathematics and Computation 83 Applied Numerical Mathematics 60 BIT 47 Journal of Computational Physics 44 Numerical Algorithms 36 Journal of Mathematical Analysis and Applications 35 Numerische Mathematik 34 Mathematics of Computation 33 Computers & Mathematics with Applications 31 Foundations of Computational Mathematics 26 International Journal of Computer Mathematics 25 Journal of Scientific Computing 23 Journal of Approximation Theory 17 Applied Mathematics Letters 17 Linear Algebra and its Applications 17 SIAM Journal on Scientific Computing 17 Advances in Computational Mathematics 15 Discrete and Continuous Dynamical Systems 14 SIAM Journal on Numerical Analysis 13 Computer Methods in Applied Mechanics and Engineering 13 Computational and Applied Mathematics 12 Journal of Mathematical Physics 10 Journal of Difference Equations and Applications 9 Numerical Methods for Partial Differential Equations 9 Abstract and Applied Analysis 8 Calcolo 8 Acta Applicandae Mathematicae 8 Physica D 8 Integral Transforms and Special Functions 8 Engineering Analysis with Boundary Elements 8 Communications in Nonlinear Science and Numerical Simulation 8 Advances in Difference Equations 8 Journal of Computational Dynamics 7 Journal of Differential Equations 7 Systems & Control Letters 7 Journal of Complexity 7 Celestial Mechanics and Dynamical Astronomy 7 Communications in Numerical Methods in Engineering 7 Multibody System Dynamics 7 Nonlinear Dynamics 6 Computers and Fluids 6 Journal of the Franklin Institute 6 Mathematical Methods in the Applied Sciences 6 Proceedings of the American Mathematical Society 6 Constructive Approximation 6 Mathematical and Computer Modelling 6 Mathematical Problems in Engineering 6 The ANZIAM Journal 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 Frontiers of Mathematics in China 5 Chaos, Solitons and Fractals 5 Automatica 5 Transactions of the American Mathematical Society 5 SIAM Journal on Matrix Analysis and Applications 5 Applied Mathematical Modelling 5 Journal of Mathematical Sciences (New York) 5 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 4 Mathematics and Computers in Simulation 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Applied Mathematics and Mechanics. (English Edition) 4 Journal of Integral Equations and Applications 4 European Journal of Applied Mathematics 4 Indagationes Mathematicae. New Series 4 Journal of Nonlinear Science 4 Russian Mathematics 4 Journal of Mathematical Chemistry 4 Doklady Mathematics 4 Journal of Applied Mathematics 3 Communications in Mathematical Physics 3 Journal of Engineering Mathematics 3 Journal of Mathematical Biology 3 Rocky Mountain Journal of Mathematics 3 Advances in Mathematics 3 International Journal for Numerical Methods in Engineering 3 Numerical Functional Analysis and Optimization 3 The Annals of Applied Probability 3 Computational Mathematics and Mathematical Physics 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 ETNA. Electronic Transactions on Numerical Analysis 3 The Journal of Fourier Analysis and Applications 3 Journal of Inequalities and Applications 3 LMS Journal of Computation and Mathematics 3 Discrete and Continuous Dynamical Systems. Series B 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Advances in Mathematical Physics 3 Science China. Mathematics 3 Statistics and Computing 3 S$$\vec{\text{e}}$$MA Journal 3 Research in the Mathematical Sciences 3 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Acta Mechanica 2 Computer Physics Communications 2 International Journal of Control 2 International Journal for Numerical Methods in Fluids 2 Inverse Problems 2 Journal of Fluid Mechanics 2 Journal of the Mechanics and Physics of Solids 2 Journal of Statistical Physics 2 Letters in Mathematical Physics ...and 196 more Serials
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### Cited in 59 Fields

 1,006 Numerical analysis (65-XX) 419 Ordinary differential equations (34-XX) 210 Partial differential equations (35-XX) 172 Harmonic analysis on Euclidean spaces (42-XX) 142 Special functions (33-XX) 141 Dynamical systems and ergodic theory (37-XX) 134 Approximations and expansions (41-XX) 83 Mechanics of particles and systems (70-XX) 81 Integral equations (45-XX) 60 Fluid mechanics (76-XX) 59 Probability theory and stochastic processes (60-XX) 54 Linear and multilinear algebra; matrix theory (15-XX) 48 Systems theory; control (93-XX) 42 Quantum theory (81-XX) 39 Operator theory (47-XX) 33 Difference and functional equations (39-XX) 33 Biology and other natural sciences (92-XX) 29 Mechanics of deformable solids (74-XX) 28 Real functions (26-XX) 27 Optics, electromagnetic theory (78-XX) 26 Computer science (68-XX) 25 Differential geometry (53-XX) 23 Functional analysis (46-XX) 23 Calculus of variations and optimal control; optimization (49-XX) 21 Functions of a complex variable (30-XX) 20 Topological groups, Lie groups (22-XX) 19 Combinatorics (05-XX) 19 Nonassociative rings and algebras (17-XX) 17 Statistical mechanics, structure of matter (82-XX) 17 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Integral transforms, operational calculus (44-XX) 15 Statistics (62-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Associative rings and algebras (16-XX) 9 Number theory (11-XX) 9 Information and communication theory, circuits (94-XX) 8 History and biography (01-XX) 7 Operations research, mathematical programming (90-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 General and overarching topics; collections (00-XX) 3 Algebraic geometry (14-XX) 3 Algebraic topology (55-XX) 3 Relativity and gravitational theory (83-XX) 2 Mathematical logic and foundations (03-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 Group theory and generalizations (20-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Geometry (51-XX) 2 Manifolds and cell complexes (57-XX) 1 Category theory; homological algebra (18-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 General topology (54-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX)

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